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Finding the Fourth Proportional to 12,697.60, 19,020.80 and 8,064

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Solution

The fourth proportional to 12,697.60, 19,020.80 and 8,064 is: 12,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.60 : 19,020.80 = 8,064 : x
  2. Step 2: Convert to fraction form
    12,697.60/19,020.80 = 8,064/x
  3. Step 3: Cross multiply
    12,697.60x = 19,020.80 × 8,064
  4. Step 4: Simplify right side
    12,697.60x = 153,383,731.20
  5. Step 5: Solve for x
    x = 153,383,731.20/12,697.60
  6. Step 6: Final answer
    x = 12,079.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.